1. The height of a right triangular prism is 1 5/6 inches. Each side of the triangular base measures 10 inches, and the height of the base is 8 2/3 inches. The triangular prism is placed atop a cube whose side measures 10 inches so that one of the triangular prism’s bases lies completely on one side of the cube.
What is the surface area of the solid formed?

Answer:

Kenzie looking for a job that has benefits. She'd like to work in one place and not have to search for a new job anytime soon. Kenzie is looking for a Full-time job. She would most likely be paid an hourly wage, by the project.

Step-by-step explanation:

Answer:

0.182

Step-by-step explanation:

2 / 11 = 0.181818...repeating

0.1818 round up since the 4th number 8 > 5

Answer:

0.182

Step-by-step explanation:

:)

Answer:

132:198:330

Step-by-step explanation:

You can take the total amount of $660, then divide it by how many parts you have, which is ten. You then get $66, which you can then multiply by the amount for each part of the ratio (2, 3, 5)

Answer:

132$ ,198$, 330&

Step-by-step explanation:

2+3+5=10

2/10×660$

=132$

3/10×660$

=198$

5/10×660$

=330$

Answer:

6.8 miles

Step-by-step explanation:

a^2+b^2=c^2

Answer:

Step-by-step explanation:

[tex]\frac{21}{26}*\frac{7}{26}\\ =\frac{147}{676}[/tex]

The probability of students who plays both basketball and baseball is 2/13

What is Set Theory Formula?

The set formula is given in general as n(A∪B) = n(A) + n(B) - n(A⋂B), where A and B are two sets and n(A∪B) shows the number of elements present in either A or B and n(A⋂B) shows the number of elements present in both A and B.

Given data ,

Let the number of students who plays basketball and baseball = n ( A ∩ B )

Let the number of students who plays basketball be = n ( A )

The value of n ( A ) = 21

Let the number of students who plays baseball be = n ( B )

The value of n ( B ) = 7

Now , 2 students does not play any sports out of the 26 students

So , n ( A ∪ B ) = 26 - 2

n ( A ∪ B ) = 24

Now , from the set theory formula ,

n(A∪B) = n(A) + n(B) - n(A⋂B)

Substituting the values in the equation , we get

24 = 21 + 7 - n ( A ∩ B )

Adding n ( A ∩ B ) on both sides , we get

n ( A ∩ B ) + 24 = 28

Subtracting 24 on both sides , we get

n ( A ∩ B ) = 4

So . the number of students who plays both basketball and baseball = 4

And , the probability that the student chosen plays both basketball and baseball = number of students who plays both basketball and baseball / Total number of students

Probability that the student chosen plays both basketball and baseball
= 4 / 26

= 2 / 13

Hence , The probability of students who plays both basketball and baseball is 2/13

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Answer:

I think the full amount was $a18.50

Part A

y-intercept: 3

It represents that after 0 months practice, the number of matches won is 3.

Part B

slope intercept form: y = mx + b

Here to find slope,

take two points: (5, 12), (0, 3)

[tex]\sf slope: \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{rise}{run}[/tex]

[tex]\rightarrow \sf slope = \dfrac{3-12}{0-5} = 1.8[/tex]

Equation:

y - y1 = m(x- x1)

y - 12 = 1.8(x - 5)

y = 1.8x - 9 + 12

y = 1.8x + 3

To find Matches won after 13 months

insert x = 13

y = 1.8(13) + 3

y = 26.4 ≈ 26 matches

The team could have won 26 matches after 13 months practice.

Answer:

See below ~

Step-by-step explanation:

Part A :

Part B :

Forming the equation :

Predicting how many matches can be won with 13 months of practice :

The coordinates are

-2,4

-1,1

0,0

1,1

2,4

Step-by-step explanation:

5x - 3y + 4 = 0

we rearrange it to look like this:

y = mx + c

3y = -4 - 5x

we can also write it like this so it rhymes with the formula

3y = -5x - 4

y = -5x - 4 / 3 (the division sign is dividing all the numbers and not only 4 ).

Soo..

y = -5x/3 -4/3

y = mx. + c

so

m = -5/3

c = -4/3.

Hope this helps.

Good luck ✅.

[tex]\rule{200}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

        Work out m and c for the line 5x-3y+4=0.

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

We can't determine the slope (m) and the y-intercept (c) yet, so we need

to convert this equation into slope-intercept form [tex]\bold{y=mx+c}[/tex].

[tex]\dagger[/tex] First, subtract 5x and 4 on both sides:-

[tex]\dagger[/tex] Next, divide by -3 on both sides:-

[tex]\bigstar[/tex] A negative divided by a negative is a positive.

[tex]\dagger\dagger[/tex] Now finding the slope is a piece of cake; it's just the number next to x:-

And the y-intercept is:-

[tex]\rule{300}{1}[/tex]

Answer:

5 possible outcomes

1. All 4 are heads,

2. All 4 are tails,

3. 3 are heads and 1 tails,

4. 2 are heads and 2 are tails,

5. 1 is tails and three are heads.

Step-by-step explanation:

On one side of a coin it’s heads, and on the other it’s tails.

there are 4 coins

(Coin side, coin side, coin side, coin side)

Possibilities;

(Heads, heads, heads, heads)

all four coins are heads

(Heads, tails, heads, heads)
three coins are heads and one tails

(Heads, tails, tails, heads)
two coins are heads, two coins are tails

(Heads, tails, tails, tails)

one coin is heads, the other three are tails

(Tails, tails, tails, tails)

all four coins are tails.

5 possible outcomes

The variance of the data set is 0.43.

The variance is used to measure the spread or the dispersion of a dataset using all the data points in the dataset. The variance is the sum of the squared difference between the data point and the mean.

The first step is to determine the mean: (0.40 + 0.72 +  1.15 + 2.14) / 4

= 4.41 / 4= 1.10

The second step is to subtract the mean from each of the data point and square the difference:

Add the sum of the squared differences and divide by 4 : 1.7125/4 = 0.43

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Answer:

243 in²

Step-by-step explanation:

Diameter = 18 in

Radius ( r ) = Diameter / 2 = 18 / 2

r = 9 in

π = 3

To find : Area of circle ( A )

Formula : -

A = πr²

A = 3 x 9²

   = 3 x 9 x 9

A = 243 in²

Answer:

a = 84/14

Step-by-step explanation:

The next step you would divide by 14 to get a=6 so I think the program wants you to input a = 84/14

Answer:

The answer should be "No Solution" as these lines never meet each other

Answer:

I can only answer b but I hope it helps

B = £75,400

Explanation:

10% is £6500

6 % is £3900

=£10,400

+the original pay

=£75,400

That is her new salary

Answer:

Step-by-step explanation:

Answer:

550 sq. cm

Step-by-step explanation:

Attached above (answer):-

Based on the items produced, and the profit yielded from those items, the best model to represent the data is y = -1.026x² + 1,016.402x - 162,075.

You can find this out by testing the models using the items produced (independent or "x" value) to see if the model produces a close enough y value.

Assuming x is 100:

= -1.026x² + 1,016.402x - 162,075

= (-1.026 x 100²) + (1,016.402 x 100) - 162,075

= -$70,694.80

Assuming x is 400:

= -1.026x² + 1,016.402x - 162,075.

= (-1.026 x 400²) + (1,016.402 x 400) - 162,075.

= $80,325.80

These figures are very close to the actual y values given which makes this the best model.

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Answer:  A. y = –1.026x2 + 1016.402x – 162075

Step-by-step explanation:

Answer:

9000 in³

Step-by-step explanation:

Small cube:

Volume = length x width x height

= 10 x 10 x 10 = 1000 in³

Big cube:

width (front) = 20

length (side) = 10 + 10 = 20

height (back) = 10 + 10 = 20

V = 20 x 20 x 20 = 8000 in³

Total volume: 1000 + 8000 = 9000 in³

Answer:

56.549 feet

Step-by-step explanation:

Diameter. ft in m

18′0″ 56.55. 678.6 17.24

18′1″ 56.81.

18′2″ 57.07. 684.9

18′3″ 57.33. 688.0

18′4″ 57.60. 691.2

18′5″ 57.86. 694.3 17.64

18′6″ 58.12. 697.4 17.71

18′7″ 58.38 700.6 17.79

18′8″ 58.64 703.7 17.87

18′9″ 58.90. 706.9 17.95

18′10″ 59.17. 710.0 18.03

18′11″ 59.43. 713.1 18.11

Answer:

47/6cm or [tex]7\frac{5}{6}[/tex]cm

Step-by-step explanation:

FE= [tex]2\frac{2}{3}[/tex]

FA= 5/12

AB= 2/3

CD=2

ED=[tex]1\frac{1}{4}[/tex]

BC= 5/6

All=47/6 or [tex]7\frac{5}{6}[/tex]

Answer:

24 pieces of glass

Step-by-step explanation:

The amount of force that is required to lift the rock if the distance from the fulcrum is 6 feet is 10 lb of force.

Based on the given graph, we can see the curve passing through the point (1.5,40), (2,30), (2.5,24), (3,20), and (4,15).

These points satisfy by the equation

y= 60/x

and,

If we input the value of x into the equation,

y= 60/6

= 10 lbs of force.

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Answer:

Keep it simple: answer 10

Step-by-step explanation:

The table shows the correct residual values for the data set regarding the scatterplot is D. A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5.

It should be noted that a scatterplot simply means a type of data display which shows the relationship between the variables.

In this case, the table shows the correct residual values for the data set regarding the scatterplot is a 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5.

The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries negative 2.12, 1.575, negative 1.22, 1.315, negative 1.99.

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Answer:

Perimeter = 56 m

Area = __ m^2

Step-by-step explanation:

Perimeter = ___ m

Area = __ m^2

To find Perimeter, you have to add up all the sides of the shape,

5 + 5 + 5 + 11 + 7 + 7 + 16

= 56 m

Perimeter = 56 m

To find area, you have to multiply length times width,

5 × 5 = 25

7 × 16 = 112

112 + 25 = 137

Area = 137 m^2

Therefore the perimeter of this shape is 56 m and the area of this shape is 137m^2.

The graph can be seen at the end, and the piecewise function for the part above the x-axis is:

f(x) = x^2 - 4 if  x ∈ (-∞, -2] or x ∈ [2, ∞)

f(x) = 4 - x^2 if x  ∈ (-2, 2).

First, we need to graph both functions, so we can see when each one is positive, the graphs of:

y = x^2 - 4

y = 4 - x^2

Can be seen at the end.

So, the first function is positive in the interval (-∞, -2] and [2, ∞), and the second function is positive in the interval (-2, 2)

So for the part of the function above the x-axis we have a piecewise function:

f(x) = x^2 - 4 if  x ∈ (-∞, -2] or x ∈ [2, ∞)

f(x) = 4 - x^2 if x  ∈ (-2, 2).

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Answer:

y= |x^2-4|

Step-by-step explanation:

Once you graph y=x^2-4 and y=4-x^2, you will get a graph like the first picture. The equation for the parts above the x-axis would be y=|x^2-4| and would graph like the second picture.

Answer:

D

Step-by-step explanation:

The interval notation for the graph :